10503613440 has 880 divisors, whose sum is σ = 41849195520. Its totient is φ = 2508226560.

The previous prime is 10503613433. The next prime is 10503613469. The reversal of 10503613440 is 4431630501.

10503613440 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 3 + 613 + 4 + 40 = 666.

It is a super-2 number, since 2×10503613440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 244270059 + ... + 244270101.

It is an arithmetic number, because the mean of its divisors is an integer number (47555904).

Almost surely, 2^10503613440 is an apocalyptic number.

10503613440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20924597760).

10503613440 is an abundant number, since it is smaller than the sum of its proper divisors (31345582080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10503613440 is a wasteful number, since it uses less digits than its factorization.

10503613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10503613440 in words is "ten billion, five hundred three million, six hundred thirteen thousand, four hundred forty".